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Non-commutative corrections to the classical expression for the fuzzy sphere area are found out through the asymptotic expansion for its heat kernel trace. As an important consequence, some quantum gravity deviations in the luminosity of…

High Energy Physics - Theory · Physics 2015-06-11 Victor Santos , C. A. S. Silva , C. A. S. Almeida

We show that the consequences of a recent paper on quantum gravity are 1) a duality between point particles and massive scalar propagators, 2) the recovery of the entropy of a boundary (a black hole) in the same form as that of the EFT…

General Relativity and Quantum Cosmology · Physics 2026-01-15 J-B. Roux

We show that a whole class of quantum actions for dilaton-gravity, which reduce to the CGHS theory in the classical limit, can be written as a Liouville-like theory. In a sub-class of this, the field space singularity observed by several…

High Energy Physics - Theory · Physics 2010-11-01 S. P. de Alwis

We explore the non-singlet sector of matrix quantum mechanics dual to $c=1$ Liouville theory. The non-singlets are obtained by adding $N_{f}\times N$ bi-fundamental fields in the gauged matrix quantum mechanics model as well as a one…

High Energy Physics - Theory · Physics 2020-07-03 Panos Betzios , Olga Papadoulaki

Diffraction, in the context of semiclassical mechanics, describes the manner in which quantum mechanics smooths over discontinuities in the classical mechanics. An important example is a billiard with sharp corners; its semiclassical…

chao-dyn · Physics 2009-10-28 Niall D. Whelan

In this contribution, we investigate the scattering cross sections of black holes immersed in perfect fluid dark matter (PFDM). We present both the classical and semi-classical scattering cross sections for different values of the parameter…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Omar Pedraza , L. A. López , Isaac Fernández

Starting with its classical parafermion algebra, we consider the quantisation of the SL(2,R)/U(1) WZNW black hole model.

High Energy Physics - Theory · Physics 2009-10-31 C. Ford

In this paper, we consider the obstacle scattering problem for biharmonic equations with a Dirichlet boundary condition in both two and three dimensions. Some basic properties are first derived for the biharmonic scattering solutions, which…

Analysis of PDEs · Mathematics 2025-10-16 Chengyu Wu , Jiaqing Yang

We find the general solution to Polchinski's classical scattering equations for $1+1$ dimensional string theory. This allows efficient computation of scattering amplitudes in the standard Liouville $\times$ $c=1$ background. Moreover, the…

High Energy Physics - Theory · Physics 2011-10-11 G. Moore , R. Plesser

We use $\mathcal N=8$ supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative part of the classical scattering angle of two extremal…

High Energy Physics - Theory · Physics 2021-01-13 Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of finite support in the other is considered. The scattering…

Mathematical Physics · Physics 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez

It is shown that the Hurwitz transformation connects the eight-dimensional repulsive oscillator problem with the five-dimensional Coulomb problem for continuous spectrum. The hyperspherical and parabolic bases for this system are…

Quantum Physics · Physics 2007-05-23 Levon Mardoyan

Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL(2,C)_k/SU(2) WZNW model on the sphere and certain set of 2N-2-point correlation functions in Liouville…

High Energy Physics - Theory · Physics 2009-11-11 Gaston Giribet , Yu Nakayama

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

We formulate a problem that can be viewed as a natural variation of the so-called Pompeiu or Schiffer problem in the context of scattering of plane waves for the Linear Helmholtz equation. For the two dimensional version of this variation,…

Analysis of PDEs · Mathematics 2025-09-25 Narek Hovsepyan , Michael S. Vogelius

We find the non-extremal charged rotating black holes in quadratic $f(T)$ gravity are holographically dual to two different hidden conformal field theories. The two conformal field theories can be merged to find a very general hidden…

High Energy Physics - Theory · Physics 2025-01-09 B. H. Fahim , A. M. Ghezelbash

The problem of the scattering of a charged test particle in the gravitational background of axially symmetrical wormhole in the presence of the Aharonov-Bohm type magnetic field is considered. It is shown that the natural mathematical…

High Energy Physics - Theory · Physics 2007-05-23 Egor Bugrij , Alexei Mishchenko , Yurii Sitenko

In this paper we aim to investigate the process of massless scalar wave scattering due to a self-dual black hole through the partial wave method. We calculate the phase shift analytically at the low energy limit and we show that the…

High Energy Physics - Theory · Physics 2020-02-28 M. A. Anacleto , F. A. Brito , J. A. V. Campos , E. Passos

We study the nonabelian vortex counting problem on $\mathbb{C}/\mathbb{Z}_p$. At first we calculate vortex partition functions on the orbifold space using localization techniques, then we find how to extract orbifold vortex partitions…

High Energy Physics - Theory · Physics 2012-03-28 Jian Zhao

It is shown that in the two-exponential version of Liouville theory the coefficients of the three-point functions of vertex operators can be determined uniquely using the translational invariance of the path integral measure and the…

High Energy Physics - Theory · Physics 2009-10-31 L. O'Raifeartaigh , J. M. Pawlowski , V. V. Sreedhar